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What are the identity and commutative properties (both additive and multiplicative)?

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∙ 9y ago

Updated: 10/16/2024

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Q: What are the identity and commutative properties (both additive and multiplicative)?

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How many properties in addition are there?

There are four properties. Commutative . Associative . additive identity and distributive.

Properties in math?

the distributed property,commmutative properties of addition and multiplication,Associative properties of addition and multiplication,additive identity, multiplicative identity.

Can you have additive identity and commutative property in the same problem?

Yes. The additive identity is always commutative - even in sets with binary operations that are not otherwise commutative.

What is the inverse property in math?

There are two related identity properties: the additive identity and the multiplicative identity. The additive identity property states that for x belonging to a set, there is an additive inverse in the set, which is denoted by -x such that x + (-x) = (-x) + x = 0, where 0 is the additive identity which also belongs to the set. The multiplicative identity property states that for y belonging to a set, there is a multiplicative inverse in the set, which is denoted by 1/y or y-1 such that y * (1/y) = (1/y) + y = 1, where 1 is the multiplicative identity which also belongs to the set.

Is the number 1 additive identity?

1 is the multiplicative identity.

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Related Questions

What are the four properties of multiplication?

commutative, associative, distributive and multiplicative identity

How many properties in addition are there?

There are four properties. Commutative . Associative . additive identity and distributive.

Which number is known as the additive identity which number is the multiplicative identity?

Additive identity: zero. Multiplicative identity: one.

Properties in math?

the distributed property,commmutative properties of addition and multiplication,Associative properties of addition and multiplication,additive identity, multiplicative identity.

Can you have additive identity and commutative property in the same problem?

Yes. The additive identity is always commutative - even in sets with binary operations that are not otherwise commutative.

What is the inverse property in math?

There are two related identity properties: the additive identity and the multiplicative identity. The additive identity property states that for x belonging to a set, there is an additive inverse in the set, which is denoted by -x such that x + (-x) = (-x) + x = 0, where 0 is the additive identity which also belongs to the set. The multiplicative identity property states that for y belonging to a set, there is a multiplicative inverse in the set, which is denoted by 1/y or y-1 such that y * (1/y) = (1/y) + y = 1, where 1 is the multiplicative identity which also belongs to the set.

Is the number 1 additive identity?

1 is the multiplicative identity.

Explain why one is called the multiplicative identity and zero is called the additive identity?

When you multiply a number times 1, you can get the same number multiplicative identity. When you add a 0 to a number, you can get the same number additive identity.

What are the adding rules?

There are four mathematical properties which involve addition. The properties are the commutative, associative, additive identity and distributive properties.A + B = B + C Commutative property(A+B) + C = A + (B +C) Associative PropertyA + 0 = A Additive Identity PropertyA*(B + C) = A*B + A*C Distributive property

What is the sum of the additive identity and the multiplicative inverse of 2?

-3/2

What are the property of addition and multiplication?

The properties of addition are: * communicative: a + b = b + a * associative: a + b + c = (a + b) + c = a + (b + c) * additive identity: a + 0 = a * additive inverse: a + -a = 0 The properties of multiplication: * communicative: a × b = b × a * associative: a × b × c = (a × b) × c = a × (b × c) * distributive: a × (b + c) = a × b + a × c * multiplicative identity: a × 1 = a * multiplicative inverse: a × a^-1 = 1

What is the solution set for an identity?

It depends on what identity you are talking about whether its multiplicative inverse to additive inverse i mean you have to be more specific

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